PSEUDOSPECTRAL

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Chebyshev Spectral Methods and the Lane-Emden Problem被引量:1
《Numerical Mathematics(Theory,Methods and Applications)》2011年第2期142-157,共16页John P.Boyd 
supported by the National Science Foundation through grants OCE0451951 and ATM 0723440.
The three-dimensional spherical polytropic Lane-Emden problem is yr r+(2/r)y_(r)+y^(m)=0,y(0)=1,y_(r)(0)=0 where m∈[0,5]is a constant parameter.The domain is r∈[0,ξ]whereξis the first root of y(r).We recast this a...
关键词:Lane-Emden Chebyshev polynomial PSEUDOSPECTRAL 
A GENERALIZED GAUSS-TYPE QUADRATURE FORMULA AND ITS APPLICATIONS TO PSEUDOSPECTRAL METHOD
《Numerical Mathematics A Journal of Chinese Universities(English Series)》2002年第2期179-196,共18页王立联 郭本瑜 王中庆 
TheworkofthefirstauthorispartiallysupportedbyShanghaiNaturalScienceFoundationN .0 0JC1 4 0 5 7,andShanghiNaturalScienceFoundationforYouthN .0 1QN85 .TheworkofthesecondauthorispartiallysupportedbytheSpecialFundsforMajorStateBasicResearchProjectsofChin
A generalized Gauss-type quadrature formula is introduced, which assists in selection of collocation points in pseudospectral method for differential equations with two-point derivative boundary conditions. Some resul...
关键词:GENERALIZED Gauss-type QUADRATURE formula  PSEUDOSPECTRAL method  K-S equa-tion. 
CHEBYSHEV PSEUDOSPECTRAL-HYBRID FINITE ELEMENT METHOD FOR THREE-DIMENSIONAL VORTICITY EQUATION
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1996年第2期161-196,共36页郭本瑜 候镜宇 
In this paper,Chebyshev pseudospectral-finite element schemes are proposed for solving three dimensional vorticity equation.Some approximation results in nonisotropic Sobolev spaces are given.The generalized stability...
关键词:THREE-DIMENSIONAL VORTICITY EQUATION CHEBYSHEV pseudospectral-hybrid finite element 
THE CHEBYSHEV PSEUDOSPECTRAL DOMAIN DECOMPO SITION METHOD FOR SOLVING TWO-DIMENSIONAL ELLIPTIC EQUATION
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1996年第1期1-12,共12页熊岳山 
This paper ix devoted to establishment of the Chebyshev pseudospectral domain de-composition scheme for solving two-dimensional elliptic equation. By the generalized equivalent variatiunal form, we can get the stabili...
关键词:CHEBYSHEV PSEUDOSPECTRAL METHOD domain decomposition TWO-DIMENSIONAL ELLIPTIC equation. 
FOURIER-CHEBYSHEV PSEUDOSPECTRAL METHOD FOR THREE-DIMENSIONAL VORTICITY EQUATION WITH UNILATERALLY PERIODIC BOUNDARY CONDITION
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1994年第2期216-242,共27页郭本瑜 李健 曹卫明 
A Fourier-Chebyshev pseudospectral scheme is proposed for three-dimensionalvorticily equation with unilaterally periodic boundary condition. The generalized stability and convergence are analysed. The numerical result...
关键词:THREE-DIMENSIONAL VORTICITY EQUATION Fourier-Chebyshev PSEUDOSPECTRAL approximation. 
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